Interaction between vortices in models with two order parameters

Abstract

The interaction energy and force between widely separated strings is analyzed in a field theory having applications to superconducting cosmic strings, the SO(5) model of high-temperature superconductivity, and solitons in nonlinear optics. The field theory has two order parameters, one of which is broken in the vacuum (giving rise to strings), the other of which is unbroken in the vacuum but which could nonetheless be broken in the core of the string. If this does occur, there is an effect on the energetics of widely separated strings. This effect is important if the length scale of this second order parameter is longer than that of the other fields in the problem.

11 pages, 3 figures. Minor changes in the text. Accepted for publication in Phys. Rev. D

References in corpus (9)

• Superconducting Vortex with Antiferromagnetic Core
• Static intervortex forces
• Linear and nonlinear waveguides induced by optical vortex solitons
• Interactions between $U(1)$ Cosmic Strings: An Analytical Study
• Non-intercommuting Cosmic Strings
• Optical Vortex Solitons in Parametric Wave Mixing
• Non Intercommuting Configurations in the Collisions of Type-I $U(1)$ Cosmic Strings
• Vortex lattice stability in the SO(5) model
• Magnetic properties of SO(5) superconductivity

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• A Novel Mechanism for Type-I Superconductivity in Neutron Stars
• Coleman-Weinberg Abrikosov-Nielsen-Olesen strings
• The Creation of Defects with Core Condensation
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• Vortex core ordering in Abrikosov lattices
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• Vortices in a Ginzburg Landau Theory of Superconductors with Nematic Order